What is expand 3e^{3x}*(e^{3x}+1) ?

The solution to expand 3e^{3x}*(e^{3x}+1) is 3e^{6x}+3e^{3x}

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expand 3e^{3x}*(e^{3x}+1)

expand

3 e^{3 x} \cdot (e^{3 x} + 1)

3 e^{6 x} + 3 e^{3 x}

Solution steps

3 e^{3 x} (e^{3 x} + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = 3 e^{3 x}, b = e^{3 x}, c = 1

= 3 e^{3 x} e^{3 x} + 3 e^{3 x} \cdot 1

= 3 e^{3 x} e^{3 x} + 3 \cdot 1 \cdot e^{3 x}

Simplify

3 e^{3 x} e^{3 x} + 3 \cdot 1 \cdot e^{3 x} : 3 e^{6 x} + 3 e^{3 x}

= 3 e^{6 x} + 3 e^{3 x}

x (0, 1, 2, 3) y (- 1, - 1, - 1, - 1)

2 \cdot (ab (x + a))

- 2 (2 x - 1 = 17 - 4 x)

\frac{x + 4}{x ^{2} ( x ^{2} + 4 )}

- \frac{3 ( 2 - 11 )}{7}

What is expand 3e^{3x}*(e^{3x}+1) ?
The solution to expand 3e^{3x}*(e^{3x}+1) is 3e^{6x}+3e^{3x}